中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1217-1222.doi: 10.1088/1009-1963/14/6/027

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Effective nonlinear AC response to composite with spherical particles

魏恩泊1, 梁方楚2, 陈小刚3   

  1. (1)Department of Mathematics, Ningbo University of Technology, Ningbo, 315010, China; (2)Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China; (3)Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China； Graduate School Of the Chinese Academy of Sciences, Beijing, 100039, China
  • 收稿日期:2004-12-02 修回日期:2005-01-12 出版日期:2005-05-27 发布日期:2005-05-27
  • 基金资助:
    Project supported by the National High Technology Development Program of China (Grant No 2002AA639270), and the National Natural Science Foundation of China (Grant Nos 40476062 and 10374026).

Effective nonlinear AC response to composite with spherical particles

Chen Xiao-Gang (陈小刚)ab, Liang Fang-Chu (梁方楚)c, Wei En-Bo (魏恩泊)a   

  1. a Department of Mathematics, Ningbo University of Technology, Ningbo, 315010, China; b Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China; c Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China； Graduate School Of the Chinese Academy of Sciences, Beijing, 100039, China
  • Received:2004-12-02 Revised:2005-01-12 Online:2005-05-27 Published:2005-05-27
  • Supported by:
    Project supported by the National High Technology Development Program of China (Grant No 2002AA639270), and the National Natural Science Foundation of China (Grant Nos 40476062 and 10374026).

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摘要： An effective nonlinear alternative-current (AC) response to granular nonlinear-composite with spherical inclusions embedded in a host medium under the action of an external AC field is investigated by using a perturbation approach. The local potentials of composite at higher harmonics are derived both in a region of local inclusion particles and in a local host region under the action of a sinusoidal field E1sinωt +E3sin3ωt, with frequencies ω and 3ω. An effective nonlinear-response to composite and the relationship between the effective nonlinear-responses at the fundamental frequency and the third harmonics are also studied for the spherical inclusions in a dilute limit.

关键词: Nonlinear composites, Effective nonlinear response, Third harmonics

Abstract: An effective nonlinear alternative-current (AC) response to granular nonlinear-composite with spherical inclusions embedded in a host medium under the action of an external AC field is investigated by using a perturbation approach. The local potentials of composite at higher harmonics are derived both in a region of local inclusion particles and in a local host region under the action of a sinusoidal field E1sinωt +E3sin3ωt, with frequencies ω and 3ω. An effective nonlinear-response to composite and the relationship between the effective nonlinear-responses at the fundamental frequency and the third harmonics are also studied for the spherical inclusions in a dilute limit.

Key words: Nonlinear composites, Effective nonlinear response, Third harmonics

中图分类号:  (Composite materials)

  • 72.80.Tm
42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation) 72.20.Ht (High-field and nonlinear effects)